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Finding the Fourth Proportional to 157,712.76, 217,635.30 and 86,078.88

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Solution

The fourth proportional to 157,712.76, 217,635.30 and 86,078.88 is: 118,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,712.76 : 217,635.30 = 86,078.88 : x
  2. Step 2: Convert to fraction form
    157,712.76/217,635.30 = 86,078.88/x
  3. Step 3: Cross multiply
    157,712.76x = 217,635.30 × 86,078.88
  4. Step 4: Simplify right side
    157,712.76x = 18,733,802,442.07
  5. Step 5: Solve for x
    x = 18,733,802,442.07/157,712.76
  6. Step 6: Final answer
    x = 118,784.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.